Is Rayo's Number the Largest Finite Number?

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The discussion revolves around the mathematical concept of numbers, specifically addressing the expression 1/(1-0.999...), which leads to debates about its validity and implications. Participants argue that 0.999... is equal to 1, thus making the division by zero problematic. The conversation shifts to larger numbers, highlighting Graham's Number as a significant example, noted for its immense size that cannot be fully expressed within the observable universe. The mention of Rayo's Number suggests a curiosity about even larger constructs in mathematics. The dialogue also includes humorous anecdotes about philosophers and their playful challenges regarding the concept of larger numbers. Overall, the thread explores the nature of infinity, large numbers, and mathematical paradoxes.
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i'll start:

1/(1-0.999...)
 
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Norton Juster and Jules Feiffer suggest this:

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fresh_42 said:
I'll skip to the end: Ben Gurion!
http://www.ephraimkishon.de/en/my_favorite_stories.htm
 
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donglepuss said:
i'll start:

1/(1-0.999...)
1/(1-0.999...) +1

The problem is that it is s trivial game if all you have to do is make up a number.

That's why I'm a fan of Grahams Number, which was (for a time) the largest number ever used in a math paper.

Its so large that it cannot be written out in the volume of the observable universe. In fact, the number that represents the number of digits in Grahams number is so large, it cannot be written out in the volume of the known universe.
 
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donglepuss said:
i'll start:

1/(1-0.999...)
Bogus, since 9-bar is exactly 1 so you are dividing by zero. Why not just say infinity, since that's what you wrote?

EDIT: also, infinity is not a number, so you have violated your own rules of the question.
 
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I'm sure Dr. Seuss could tell you. (I don't recall the name of the book, sorry!)

-Dan
 
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donglepuss said:
i'll start:

1/(1-0.999...)
Two philosophers getting drunk in a bar and one asks the other.
"i bet you half a crown that I can think of a bigger number than you."
The other guy thought for a minute and said.
"Ok you're on."
First philosopher thought hard for about 5 minutes in silence then blurted out in triumph.
"Two!"
The second guy thought for a while and said.
"Ok you win."
 
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DaveC426913 said:
1/(1-0.999...) +1

The problem is that it is s trivial game if all you have to do is make up a number.

That's why I'm a fan of Grahams Number, which was (for a time) the largest number ever used in a math paper.

Its so large that it cannot be written out in the volume of the observable universe. In fact, the number that represents the number of digits in Grahams number is so large, it cannot be written out in the volume of the known universe.
Here is the man himself explaining where it came from.
Tree3 on numberphile is also interesting

EDIT: It would help if I posted the link. He died July 2020, I missed that. RIP Ronald Graham.
 
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<inhales lung full of helium> ##{}^\mathrm{Two!}##

There, bet that's higher than any of you can manage.
 
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  • #11
donglepuss said:
i'll start:

1/(1-0.999...)
Is this the biggest? Rayo's number?

 
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